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Simplifying 9(x + -1) + 7x = 5(x + 7) Reorder the terms: 9(-1 + x) + 7x = 5(x + 7) (-1 * 9 + x * 9) + 7x = 5(x + 7) (-9 + 9x) + 7x = 5(x + 7) Combine like terms: 9x + 7x = 16x -9 + 16x = 5(x + 7) Reorder the terms: -9 + 16x = 5(7 + x) -9 + 16x = (7 * 5 + x * 5) -9 + 16x = (35 + 5x) Solving -9 + 16x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 16x + -5x = 35 + 5x + -5x Combine like terms: 16x + -5x = 11x -9 + 11x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 11x = 35 + 0 -9 + 11x = 35 Add '9' to each side of the equation. -9 + 9 + 11x = 35 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 35 + 9 11x = 35 + 9 Combine like terms: 35 + 9 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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